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# Solutions for Chapter 4.2: OPTIMIZATION ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 4.2: OPTIMIZATION

Solutions for Chapter 4.2
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##### ISBN: 9780470888612

Chapter 4.2: OPTIMIZATION includes 63 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 63 problems in chapter 4.2: OPTIMIZATION have been answered, more than 43181 students have viewed full step-by-step solutions from this chapter. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Arccotangent function

See Inverse cotangent function.

• Arctangent function

See Inverse tangent function.

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Dependent variable

Variable representing the range value of a function (usually y)

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Implied domain

The domain of a function’s algebraic expression.

• Inverse sine function

The function y = sin-1 x

• Linear system

A system of linear equations

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Nautical mile

Length of 1 minute of arc along the Earth’s equator.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Order of magnitude (of n)

log n.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

A graph in which (-x, y) is on the graph whenever (x, y) is; or a graph in which (-r, -?) or (r, ?, -?) is on the graph whenever (r, ?) is

• Vertical line test

A test for determining whether a graph is a function.

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